If three resistors are all connected in parallel, find the total resistance in the circuit. R1 = 45Ω, R2 = 2Ω and R3 = 7Ω. Answer to 1 decimal place and only put in the numerical value. Do not write the unit in your answer.

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BlackTom AI · Accepted Answer

We are given three resistors in parallel: R1 = 45 Ω, R2 = 2 Ω, and R3 = 7 Ω. In a parallel circuit, the reciprocal of the total resistance Rt is the sum of the reciprocals of the individual resistances: 1/Rt = 1/R1 + 1/R2 + 1/R3.

Compute each reciprocal: 1/45 ≈ 0.022222..., 1/2 = 0.5, 1/7 ≈ 0.142857. Add them together: 0.022222... + 0.5 + 0.142857 ≈ 0.665079.

Now take the reciprocal to find Rt: Rt ≈ 1 / 0.665079 ≈ 1.503. To report to one decimal place, round 1.503 to 1.5.

Thus, the total resistance for the parallel combination, to one decimal place, is 1.5 (in ohms).

If three resistors are all connected in parallel, find the total resistance in the circuit. R1 = 45Ω, R2 = 2Ω and R3 = 7Ω. Answer to 1 decimal place and only put in the numerical value. Do not write the unit in your answer.

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